54945840 has 80 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 14558976.

The previous prime is 54945823. The next prime is 54945871. The reversal of 54945840 is 4854945.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42321 + ... + 43599.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^54945840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54945840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

54945840 is an abundant number, since it is smaller than the sum of its proper divisors (116471760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54945840 is a wasteful number, since it uses less digits than its factorization.

54945840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 54945840 is about 7412.5461212730. The cubic root of 54945840 is about 380.1703760460.

The spelling of 54945840 in words is "fifty-four million, nine hundred forty-five thousand, eight hundred forty".